151268880 has 240 divisors, whose sum is σ = 575052480. Its totient is φ = 32707584.

The previous prime is 151268879. The next prime is 151268891. The reversal of 151268880 is 88862151.

151268880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223102 + ... + 223778.

It is an arithmetic number, because the mean of its divisors is an integer number (2396052).

Almost surely, 2^151268880 is an apocalyptic number.

151268880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287526240).

151268880 is an abundant number, since it is smaller than the sum of its proper divisors (423783600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151268880 is a wasteful number, since it uses less digits than its factorization.

151268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 151268880 is about 12299.1414334497. The cubic root of 151268880 is about 532.8232866843.

The spelling of 151268880 in words is "one hundred fifty-one million, two hundred sixty-eight thousand, eight hundred eighty".